Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
97552097280 = 213 · 39 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27027,-1710126] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:8:1] [465:9288:1] |
Generators of the group modulo torsion |
j |
223810587/10 |
j-invariant |
L |
11.247188403189 |
L(r)(E,1)/r! |
Ω |
0.37234991460231 |
Real period |
R |
3.7757455964499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890h2 87120cx1 87120dj2 |
Quadratic twists by: -4 -3 -11 |